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Finding the Fourth Proportional to 15,851.40, 23,778.24 and 5,463

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Solution

The fourth proportional to 15,851.40, 23,778.24 and 5,463 is: 8,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.40 : 23,778.24 = 5,463 : x
  2. Step 2: Convert to fraction form
    15,851.40/23,778.24 = 5,463/x
  3. Step 3: Cross multiply
    15,851.40x = 23,778.24 × 5,463
  4. Step 4: Simplify right side
    15,851.40x = 129,900,525.12
  5. Step 5: Solve for x
    x = 129,900,525.12/15,851.40
  6. Step 6: Final answer
    x = 8,194.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.